Guided Practice


Write a rule for a geometric sequence that has −6negative 6 as its first term and a common ratio of 2. What is the tenth term of this sequence?


A.
an=−6 · 2n−1; −3,072a subscript n baseline equals negative 6 times 2 superscript n minus 1 baseline semi-colon negative 3,072


B.
an=2 · −610−1; −20,155,392a subscript n baseline equals 2 times negative 6 superscript 10 minus 1 baseline semi-colon negative 20,155,392


C.
an=−6 · 2n; −6,144a subscript n baseline equals negative 6 times 2 superscript n baseline semi-colon negative 6,144

Answer:

(1, 4), (2, 8), (3, 12)

Step-by-step explanation:

The ratio if the number if books to the cost in dollars is 1 : 4

To plot on a coordinate grid, we first look at the horizontal direction (x-axis)

Take the number of books to be values of the x-coordinate.

Start at the origin and travel the necessary distance to the left or the right then move up or down in the vertical direction to mark the y-coordinate.

The corresponding cost to be the values of the y-coordinate. Mark or plot at the intersection of the two numbers.

Answer:it's 844

Step-by-step explanation:

Answer:

2nd one is the ans

16m*2n*2+11mn+9

Answer:

x = 5

Step-by-step explanation:

Sum of angles = 180, so

60 + 80 + 8x = 180

140 + 8x = 180

8x = 180 - 140 = 40

x = 40/8 = 5

Answer:

m + 1/4 = 2/3

Step-by-step explanation:

Since they are equal lengths set them = to each other.

2/3 - 1/4= 5/12; 1/4 + m = 2/3

We know it's subtraction as the tape diagram above has 2 pieces, both smaller than the whole tape diagram below it. Also, knowing it has 2 pieces and that 1/4 is small than 2/3 help us know that it's subtraction.

I hope I've helped!

Answer:

-$45

Step-by-step explanation:

Find how much he owes his friends in total by multiplying 3 by 15:

3(15)

= 45

So, he owes his friends $45.

Since he has no money, we can find his worth by subtracting 45 from 0:

0 - 45

= -45

His worth is -$45.

Answer:

Step-by-step explanation:

They are diffrent values

Answer:

t ≥ 0.2c

Step-by-step explanation:

Her tip is at least 20% of the cost of the meal, so her tip is greater than or equal to 20% of the cost of the meal

tip ≥ 20% of the cost of the meal

t ≥ 20% of c

Another way of writing "20% of c" is multiplying the two values, so we have

20% of c = 20% * c

t ≥ 20% * c

To convert from a percentage to a decimal, we can divide the percentage by 100. Here, we have

20% = 0.2

t ≥ 0.2 * c

Answer:

34

Step-by-step explanation:

34 because i beleive so

Answer:

A&C

Step-by-step explanation:

They are negative and even and they are not positive and even too.

Answer:

A

Step-by-step explanation:

Technically A and C are correct but we are dealing with only negative even values. A non-positive integer is any negative number or zero but we don't have that value so it makes more sense to choose A than C. B is incorrect because a whole number can't include a negative number, a fraction, or a decimal. D is also incorrect because a non-negative integer is a positive number which we don't have in the set.

Best of Luck!

Answer:

-3

Step-by-step explanation:

4n+ 6 = -18

4n=-24

n = -6

-6,-5,-4,-3

largest is -3

Answer:

[tex]\displaystyle -3[/tex]

Step-by-step explanation:

[tex]\displaystyle -18 = 6 + 4n → \frac{-24}{4} = \frac{4n}{4} \\ \\ -6 = n \\ \\ \\ -6, -5, -4, \boxed{-3}[/tex]

Hence, you have your answer.

I am joyous to assist you at any time.

Answer:

-3,-2,-1,4,5

I really hope this helps you a lot!

Step-by-step explanation:

Answer:

-3,-2,-1,4,5..

Step-by-step explanation:

janh xD I urself ds

Answer:

check explanation

Step-by-step explanation:

in eqn 2,

y = 3 - 2x

substitute for it in eqn 1

3x² + y² = 20

3x² + (3 - 2x)² = 20

3x² + 9 - 12x + 4x² = 20

Group like terms;

3x² + 4x² - 12x = 20 -9

7x² - 12x = 11

x(7x - 12) = 11

x = 11,

OR

7x - 12 = 11

7x = 11 + 12

7x = 23

x = 23/7

x = 3.286

To get y, substitute for x in eqn 2

WHEN x = 11,

y = 3 - 2(11)

y = 3 - 22

y = -19

WHEN x = 3.286

y = 3 - 2(3.386)

y = -3.772

Answer:

the mistake is that to "remove" the 1/2 on the left you would have to multiply by 2 (or divide by 1/2 but no one does that)

the result would be that 2h-4 = 10  should actually be 2h-4 = 20

Step-by-step explanation:

[tex]\\ \rm\longmapsto L=\dfrac{\Theta}{180}\times \pi r[/tex]

[tex]\\ \rm\longmapsto PQ=\dfrac{135}{180}\times 3.14(12)[/tex]

[tex]\\ \rm\longmapsto PQ=\dfrac{3}{4}\times 37.68[/tex]

[tex]\\ \rm\longmapsto PQ=\dfrac{113.04}{4}[/tex]

[tex]\\ \rm\longmapsto PQ=28.3[/tex]

Answer:

C is the answer

Step-by-step explanation:

The domain can't be minus. That's the only stipulation. It can be equal to 0 or anything larger than 0. It just can't go into the minus numbers.

0≤x<infinity.

C

Answer:

95kg

Step-by-step explanation:

Mass÷Volume=Density

Therefore, Mass = Volume × Density

Mass = 1500 × 95

Mass = 95,000g

Since we were asked to find the mass in kg:

1000g = 1kg

Therefore, 95,000g = 95kg

Answer:

C.................is the answer

Answer:

a)=10m

b)(x+1)

c)=(27x+9)

d=(3x+1)

===============================================================

Explanation:

First, let's calculate angle BYC. This is the angle formed by the chords that subtend the arcs mentioned. This angle faces or is aimed toward the direction of the arcs. To find this angle, we'll average the arc measures like so:

angle BYC = (arcAD + arcBC)/2

angle BYC = (50+120)/2

angle BYC = 170/2

angle BYC = 85 degrees

Then we'll use the idea that angles BYC and DYC are supplementary (aka they form a straight 180 degree angle)

angleBYC + angleDYC = 180

angleDYC = 180 - angleBYC

angleDYC = 180 - 85

angleDYC = 95 degrees

which is why the answer is choice D.

Answer:

[tex](2 \times {10}^{4} )(1 \times 10 ^{6} ) \\ = 2 \times {10}^{10} [/tex]

I hope I helped you^_^

Answer:

2×10^10

Step-by-step explanation:

Answer:

0.5t + 0.25(t +16) =4 + 0.75t

0.5t + 0.25t + 4 = 4 + 0.75t

0.5t+ 0.25t – 0.75 t = 4– 4

0.5t +0.25t–0.75t = 0 —> 0 = 0

I hope I helped you^_^

Answer: All Real Numbers or A.R.N

Step-by-step explanation:

Given

0.5t + 0.25 (t + 16) = 4 + 0.75t

Expand parentheses and apply the distributive property

0.5t + 0.25 · t + 0.25 · 16 = 4 + 0.75t

0.5t + 0.25t +4 = 4 + 0.75t

Combine like terms

0.75t + 4 = 4 + 0.75t

Subtract 0.75t on both sides

0.75t + 4 - 0.75t = 4 + 0.75t - 0.75t

4 = 4

Since both sides are left with the same term, this means any number would be able to make the equation true.

Therefore the answer would be All Real Numbers, or [tex]\boxed{A.R.N}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

2/8 you plus it

Step-by-step explanation:

you should plus both

Answer: $864.63

Step-by-step explanation:

First find the original price. Write 20% as the decimal 0.20 before using it in the equation.

price

= cost+mark-up

= 960.70+0.20×960.70

= 960.70+192.14

= 1,152.84

The original price was $1,152.84.

Now find the discount price. Write 25% as the decimal 0.25 before using it in the equation.

discount price

= original price–discount

= 1,152.84–0.25×1,152.84

= 1,152.84–288.21

= 864.63

The discount price was $864.63.

Answer:

B irrational :]..............

Answer:

x=4.2

Step-by-step explanation:

29-3=5x+5

21=5x, x=21/5=4.2

Answer:

[tex]x = 15x[/tex]

Step-by-step explanation:

[tex] \frac{5}{12} = \frac{x}{36} [/tex]

[tex] \frac{5 \times 36}{12 } = x[/tex]

[tex]5 \times 36 = 12x[/tex]

[tex]180 = 12x[/tex]

[tex]12x = 180[/tex]

[tex]12x \div 12 = 180 \div 12[/tex]

[tex]x = 180 \div 12[/tex]

[tex]x = 15[/tex]

Answer:

answer is subtract the 180-120=80

Answer:

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]